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The Effect of a Monomer Source on the Oscillation Period in an Irreversible Coagulation Model

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The article examines the kinetic equations of irreversible coagulation with a source of monomers and a sink of particles that exceed the maximum allowed size. Time-periodic solutions are known for the class of Brownian kernels. In this study, we analyze the effect of the monomer source intensity on the period and the amplitude of the particle concentration oscillations over time. The numerical results suggest that as the source intensity is increased, the oscillation amplitude increases while the oscillation period decreases, so that no qualitative changes are observed in the solution structure. A change in source intensity does not produce scaling of the model time and model concentrations of the particles per unit volume of the medium.

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Authors and Affiliations

  1. Skolkovo Institute of Science and Technology, Moscow, Russia

    S. A. Matveev

  2. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia

    S. A. Matveev & E. E. Tyrtyshnikov

  3. Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia

    A. P. Smirnov

Authors
  1. S. A. Matveev
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  2. A. P. Smirnov
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  3. E. E. Tyrtyshnikov
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Correspondence to S. A. Matveev.

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Translated from Prikladnaya Matematika i Informatika, No. 61, 2019, pp. 57–62.

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Matveev, S.A., Smirnov, A.P. & Tyrtyshnikov, E.E. The Effect of a Monomer Source on the Oscillation Period in an Irreversible Coagulation Model. Comput Math Model 30, 378–382 (2019). https://doi.org/10.1007/s10598-019-09463-w

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  • DOI: https://doi.org/10.1007/s10598-019-09463-w

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